JEE Advanced 2017 Paper 2 Physics Q7

Physics · Foundations & Measurement · Kinematics

Problem

A person measures the depth of a well by measuring the time interval between dropping a stone and receiving the sound of impact with the bottom of the well. The error in his measurement of time is δT=0.01\delta T=0.01 seconds and he measures the depth of the well to be L=20L=20 meters. Take the acceleration due to gravity g=10 m s−2g=10\,\mathrm{m\,s^{-2}} and the velocity of sound is 300 m s−1300\,\mathrm{m\,s^{-1}}. Then the fractional error in the measurement, δL/L\delta L/L, is closest to

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